{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os, pickle, re, glob, time\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "np.set_printoptions(precision=2)\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as patches\n",
    "import seaborn as sns\n",
    "from scipy import stats\n",
    "from collections import Counter\n",
    "\n",
    "sns.set_style('ticks')\n",
    "pd.set_option('precision', 2)\n",
    "\n",
    "%matplotlib inline\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Normalize values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-2-f208380cf874>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      9\u001b[0m     \u001b[0mrle_factor_df\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'../preprocessed_data/scRNAseq/normalization_factor/{}_rle_factor.csv'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mindex_col\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     10\u001b[0m     \u001b[0mrle_df\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtpm_df\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mrle_factor_df\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'x'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalues\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 11\u001b[0;31m     \u001b[0mrle_df\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mto_csv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'../preprocessed_data/scRNAseq/{}_rle.csv'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     12\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     13\u001b[0m     \u001b[0;31m# For UQ, for some cells there are few genes and q75 = 0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/lib/python3.7/site-packages/pandas/core/generic.py\u001b[0m in \u001b[0;36mto_csv\u001b[0;34m(self, path_or_buf, sep, na_rep, float_format, columns, header, index, index_label, mode, encoding, compression, quoting, quotechar, line_terminator, chunksize, date_format, doublequote, escapechar, decimal)\u001b[0m\n\u001b[1;32m   3226\u001b[0m             \u001b[0mdecimal\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mdecimal\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   3227\u001b[0m         )\n\u001b[0;32m-> 3228\u001b[0;31m         \u001b[0mformatter\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msave\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   3229\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   3230\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mpath_or_buf\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/lib/python3.7/site-packages/pandas/io/formats/csvs.py\u001b[0m in \u001b[0;36msave\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m    200\u001b[0m                 \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwriter\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mUnicodeWriter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mwriter_kwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    201\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 202\u001b[0;31m             \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_save\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    203\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    204\u001b[0m         \u001b[0;32mfinally\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/lib/python3.7/site-packages/pandas/io/formats/csvs.py\u001b[0m in \u001b[0;36m_save\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m    322\u001b[0m                 \u001b[0;32mbreak\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    323\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 324\u001b[0;31m             \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_save_chunk\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mstart_i\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mend_i\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    325\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    326\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m_save_chunk\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstart_i\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mend_i\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/lib/python3.7/site-packages/pandas/io/formats/csvs.py\u001b[0m in \u001b[0;36m_save_chunk\u001b[0;34m(self, start_i, end_i)\u001b[0m\n\u001b[1;32m    338\u001b[0m                 \u001b[0mdecimal\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdecimal\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    339\u001b[0m                 \u001b[0mdate_format\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdate_format\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 340\u001b[0;31m                 \u001b[0mquoting\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mquoting\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    341\u001b[0m             )\n\u001b[1;32m    342\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/lib/python3.7/site-packages/pandas/core/internals/blocks.py\u001b[0m in \u001b[0;36mto_native_types\u001b[0;34m(self, slicer, na_rep, float_format, decimal, quoting, **kwargs)\u001b[0m\n\u001b[1;32m   2130\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2131\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mquoting\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2132\u001b[0;31m                 \u001b[0mvalues\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mvalues\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mastype\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mstr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   2133\u001b[0m             \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2134\u001b[0m                 \u001b[0mvalues\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mvalues\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"object\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "for name in ['AS_et_al', 'AP_et_al', 'SP_et_al']:\n",
    "\n",
    "    tpm_df = pd.read_csv('../preprocessed_data/scRNAseq/{}_tpm.csv'.format(name), index_col=0)\n",
    "\n",
    "    tmm_factor_df = pd.read_csv('../preprocessed_data/scRNAseq/normalization_factor/{}_tmm_factor.csv'.format(name), index_col=0)\n",
    "    tmm_df = tpm_df / tmm_factor_df['x'].values\n",
    "    tmm_df.to_csv('../preprocessed_data/scRNAseq/{}_tmm.csv'.format(name))\n",
    "\n",
    "    rle_factor_df = pd.read_csv('../preprocessed_data/scRNAseq/normalization_factor/{}_rle_factor.csv'.format(name), index_col=0)\n",
    "    rle_df = tpm_df / rle_factor_df['x'].values\n",
    "    rle_df.to_csv('../preprocessed_data/scRNAseq/{}_rle.csv'.format(name))\n",
    "\n",
    "    # For UQ, for some cells there are few genes and q75 = 0\n",
    "#     uq_factor_df = pd.read_csv('../preprocessed_data/scRNAseq/normalization_factor/{}_uq_factor.csv'.format(name), index_col=0)\n",
    "#     uq_df = tpm_df / uq_factor_df['x'].values\n",
    "#     uq_df.to_csv('../preprocessed_data/scRNAseq/{}_uq.csv'.format(name))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sanity check for our dataset (AS)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "df1 = tpm_df / tmm_factor_df['x'].values # correct\n",
    "df2 = tpm_df * tmm_factor_df['x'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe3294f4610>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1 = df1.head(100).values.flatten()\n",
    "x2 = df2.head(100).values.flatten()\n",
    "sns.scatterplot(np.log2(x1), np.log2(x2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Q75')"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.scatter(tmm_factor_df['x'].values, tpm_df.quantile(q=0.75).loc[tmm_factor_df.index].values, s=20, alpha=0.7)\n",
    "plt.xlabel('TMM')\n",
    "plt.ylabel('Q75')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "count_df = pd.read_csv('../data/HN_patient_specific/star_rsem_output/HN120-182/countdata.csv', index_col=0)\n",
    "count_df = count_df.set_index('mat57[, 1]')\n",
    "count_df.index.name = ''"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fe32ec23e10>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(rle_factor_df['x'].values, count_df.sum().loc[tmm_factor_df.index].values, s=20, alpha=0.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fe329db48d0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(tpm_df.quantile(q=0.75).loc[tmm_factor_df.index].values, count_df.sum().loc[tmm_factor_df.index].values, s=20, alpha=0.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": false,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
